Electron. J. Diff. Eqns., Vol. 2008(2008), No. 18, pp. 1-9.

Solutions to boundary-value problems for second-order impulsive differential equations at resonance

Yu Tian

Abstract:
In this paper, we investigate the existence and uniqueness of solutions to boundary-value problems for second-order impulsive differential equations at resonance. To obtain these results, we apply fixed point methods and new differential inequalities.

Submitted September 6, 2007. Published February 5, 2008.
Math Subject Classifications: 34B15, 34B37.
Key Words: Second-order boundary-value problem; Schaefer's theorem; impulsive differential equations; two-point boundary condition.

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Yu Tian
School of Science
Beijing University of Posts and Telecommunications
Beijing 100876, China
email: tianyu2992@163.com

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